THE HIGHER MATHEMATICS CLASS

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WELCOME TO THE HIGHER MATHEMATICS CLASS

WELCOME TO THE HIGHER MATHEMATICS CLASS

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Presentation transcript:

THE HIGHER MATHEMATICS CLASS WELCOME TO THE HIGHER MATHEMATICS CLASS

OBSERVE THE PICTURE CAREFULLY TELL ME THE SHAPE OF WHEEL.

THE CIRCLE CHAPTER -4 EXERCISE -4.1 BOOK BY AKKHOR POTRA

LEARNING OUTCOME Equation of circle with center at origin STUDENT CAN KNOW FROM THIS CHAPTER About the Circle Equation of circle with center at origin Equation of circle with center at the fixed point

Definition of circle :A circle is a simple closed shape in Euclidean geometry. It is the set of all points in a plane that are at a given distance from a given point ; equivalently it is the curve traced out by a point that moves so that its distance from a given point is constant.

Necessary formula for circle. 1.Center at origin and radius is r the Equation becomes 2.Center at (h,k) and radius is r the Equation becomes

4.Standard Equation of circle is 5.Taking (x1,y1) and (x2,y2) are the extremities of a Diameter of a Circle the Equation of circle is 6.The Equation of circle passes through the points (x1,y1) and (x2,y2) is

7.If any circle touches x-axis then radius=ordinate of the center or g2=c 8.If any circle touches y-axis then radius=abscissa of the center or f2=c 9.If any circle touches both axes then center=(radius,radius) 10.The length of chord from x-axis cut by a circle = 11.The length of chord from y-axis cut by a circle =

Group Work 1.Find the equation of the circle which passes through the points (-6,5),(-3,-4) and (2,1) respectively. 2. Find the equation of the circle which passes through the points (3,-2),(-2,0) and the center lie on the straight line 2x-y=3. 3.Find the equation of the circle which passes through the points (1,1),(2,2) and radius is 1.

Evaluation 1.What is Circle? 2.Tell me Characteristics of Circle

HOME WORK 1.Find the equation of the circle which passes through the points (0,1),(1,0) and (2,1) respectively. 2. Find the equation of the circle which passes through the points (3,5),(6,4) and the center lie on the x-axis. 3.Find the equation of the circle which passes through the points (1,2),(3,2) and touches x-axis.

EUCLID ,FATHER OF GEOMETRY THANKS TO ALL EUCLID ,FATHER OF GEOMETRY